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Question Number 115429 by Eric002 last updated on 25/Sep/20

how many ways can you arrange 15 distinct  balls into 5 cups if there has to be at least  1 ball in each cup?

$${how}\:{many}\:{ways}\:{can}\:{you}\:{arrange}\:\mathrm{15}\:{distinct} \\ $$$${balls}\:{into}\:\mathrm{5}\:{cups}\:{if}\:{there}\:{has}\:{to}\:{be}\:{at}\:{least} \\ $$$$\mathrm{1}\:{ball}\:{in}\:{each}\:{cup}? \\ $$$$ \\ $$

Commented by bemath last updated on 26/Sep/20

sir do you have app to compute   { _k ^n } ?

$${sir}\:{do}\:{you}\:{have}\:{app}\:{to}\:{compute}\: \\ $$$$\left\{\underset{{k}} {\overset{{n}} {\:}}\right\}\:? \\ $$

Commented by mr W last updated on 26/Sep/20

https://keisan.casio.com/exec/system/1292214829

Commented by mr W last updated on 26/Sep/20

Commented by bemath last updated on 26/Sep/20

thank you sir. why  my phone can′t  download it?

$${thank}\:{you}\:{sir}.\:{why}\:\:{my}\:{phone}\:{can}'{t} \\ $$$${download}\:{it}? \\ $$

Commented by mr W last updated on 26/Sep/20

{_5 ^(15) }=210766920  see Q105551

$$\left\{_{\mathrm{5}} ^{\mathrm{15}} \right\}=\mathrm{210766920} \\ $$$${see}\:{Q}\mathrm{105551} \\ $$

Commented by mr W last updated on 26/Sep/20

it′s not an App you can download. it  is an online calculator. you can use  it directly online.

$${it}'{s}\:{not}\:{an}\:{App}\:{you}\:{can}\:{download}.\:{it} \\ $$$${is}\:{an}\:{online}\:{calculator}.\:{you}\:{can}\:{use} \\ $$$${it}\:{directly}\:{online}. \\ $$

Commented by bemath last updated on 26/Sep/20

oo yes sir. thank you

$${oo}\:{yes}\:{sir}.\:{thank}\:{you} \\ $$

Commented by Eric002 last updated on 26/Sep/20

thank you sir

$${thank}\:{you}\:{sir} \\ $$

Commented by I want to learn more last updated on 27/Sep/20

....

$$.... \\ $$

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